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Finding the Fourth Proportional to 12,712.16, 19,064.64 and 8,025.14

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Solution

The fourth proportional to 12,712.16, 19,064.64 and 8,025.14 is: 12,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.16 : 19,064.64 = 8,025.14 : x
  2. Step 2: Convert to fraction form
    12,712.16/19,064.64 = 8,025.14/x
  3. Step 3: Cross multiply
    12,712.16x = 19,064.64 × 8,025.14
  4. Step 4: Simplify right side
    12,712.16x = 152,996,405.05
  5. Step 5: Solve for x
    x = 152,996,405.05/12,712.16
  6. Step 6: Final answer
    x = 12,035.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.